EXERCISE 1.2
1. Find the union of the following sets.
(i) A = {1,3,5}, B = {1,2,3,4}
A = {1,3,5}, B = {1,2,3,4}
A U B = {1,3,5} U {1,2,3,4}
= {1,2,3,4,5} ......Ans
(ii) S = {a, b, c}, T = {c, d, e}
Solution:
S = {a, b, c}, T = {c, d, e}
S U T = {a, b, c} U {c, d, e}
= {a, b, c, d, e} ......Ans
(iii) X = {2,4,6,8,10}, Y = {1,5,10}
Solution:
X = {2,4,6,8,10}, Y = {1,5,10}
X U Y = {2,4,6,8,10} U {1,5,10}
= {1,2,4,5,6,8,10} ......Ans
(iv) C = {i, o, u}, D = {a, e, o}, E = {i, e, u}
Solution:
C = {i, o, u}, D = {a, e, o}, E = {i, e, u}
(C U D) U E = ({i, o, u} U {a, e, o}) U {i, e, u}
= {a, e, i, o, u} U {i, e, u}
= {a, e, i, o, u} ......Ans
(v) L = {3, 6, 9, 12}, M = {6, 12, 18, 24}, N = { 4, 8, 12, 16}
Solution:
L = {3, 6, 9, 12}, M = {6, 12, 18, 24}, N = { 4, 8, 12, 16}
(L U M) U N = ({3, 6, 9, 12} U {6, 12, 18, 24}) U {4, 8, 12, 16}
= {3, 6, 9, 12, 18, 24} U {4, 8, 12, 16}
= {3, 4, 6, 8, 9, 12, 16, 18, 24} ......Ans
2. Find the intersection of the following sets.
(i) P = {0, 1, 2, 3}, Q = {-3, -2, -1, 0}
Solution:
P = {0, 1, 2, 3}, Q = {-3, -2, -1, 0}
P ⋂ Q = {0, 1, 2, 3} ⋂ {-3, -2, -1, 0}
= {0} ......Ans
(ii) M = {1, 2, ... , 10}, N = {1, 3, 5, 7, 9}
Solution:
M = {1, 2, ... , 10}, N = {1, 3, 5, 7, 9}
M ⋂ N = {1, 2, ... , 10} ⋂ {1, 3, 5, 7, 9}
= {1, 3, 5, 7, 9} ......Ans
(iii) A = {3, 6, 9, 12, 15}, B = {5, 10, 15, 20}
Solution:
A = {3, 6, 9, 12, 15}, B = {5, 10, 15, 20}
A ⋂ B = {3, 6, 9, 12, 15} ⋂ {5, 10, 15, 20}
= {15} ......Ans
(iv) U = {-1, -2 , -3}, V = {1, 2, 3}, W = {0, ±1, ±2}
Solution:
U = {-1, -2 , -3}, V = {1, 2, 3}, W = {0, ±1, ±2}
(U ⋂ V) ⋂ W = ({ -1, -2 , -3} ⋂ {1, 2, 3}) ⋂ {0, ±1, ±2}
= { } ⋂ { 0, ±1, ±2 }
= { } ......Ans
(v) X = {a, l, m}, Y = {i, s, l, a, m}, Z = {l, i, o, n}
Solution:
X = {a, l, m}, Y = {i, s, l, a, m}, Z = {l, i, o, n}
(X ⋂ Y) ⋂ Z = ({a, l, m} ⋂ {i, s, l, a, m}) ⋂ {l, i, o, n}
= { a, l, m } ⋂ {l, i, o, n}
= { l } ......Ans
3. If N = set of Natural numbers and W = set of Whole numbers,
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1. Website for School and College Level Physics
2. Website for School and College Level Mathematics
3. Website for Single National Curriculum Pakistan - All Subjects Notes
© 2022-23 Academic Skills and Knowledge (ASK)
Note: Write me in the comments box below for any query and also Share this information with your class-fellows and friends.
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